131385429334016
131,385,429,334,016 is an even composite number composed of five prime numbers multiplied together.
What does the number 131385429334016 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
131385429334016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131385429334016:
211 × 112 × 13 × 313 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 31 × 31 × 31 × 37 × 37)See below for interesting mathematical facts about the number 131385429334016 from the Numbermatics database.
Names of 131385429334016
- Cardinal: 131385429334016 can be written as One hundred thirty-one trillion, three hundred eighty-five billion, four hundred twenty-nine million, three hundred thirty-four thousand and sixteen.
Scientific notation
- Scientific notation: 1.31385429334016 × 1014
Factors of 131385429334016
Divisors of 131385429334016
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 31 32 37 44 52 62 64 74 88 104 121 124 128 143 148 176 208 242 248 256 286 296 341 352 403 407 416 481 484 496 512 572 592 682 704 806 814 832 961 962 968 992 1024 1144 1147 1184 1364 1369 1408 1573 1612 1628 1664 1922 1924 1936 1984 2048 2288 2294 2368 2728 2738 2816 3146 3224 3256 3328 3751 3844 3848 3872 3968 4433 4477 4576 4588 4736 5291 5456 5476 5632 6292 6448 6512 6656 7502 7688 7696 7744 7936 8866 8954 9152 9176 9472 10571 10582 10912 10952 11264 12493 12584 12617 12896 13024 13312 14911 15004 15059 15376 15392 15488 15872 17732 17797 17908 18304 18352 18944 21142 21164 21824 21904 22528 24986 25168 25234 25792 26048 26624 29791 29822 30008 30118 30752 30784 30976 31744 35464 35557 35594 35816 36608 36704 37888 42284 42328 42439 43648 43808 48763 49972 50336 50468 51584 52096 58201 59582 59644 60016 60236 61504 61568 61952 63488 70928 71114 71188 71632 73216 73408 75776 84568 84656 84878 87296 87616 97526 99944 100672 100936 103168 104192 116281 116402 119164 119288 120032 120472 123008 123136 123904 137423 138787 141856 142228 142376 143264 146432 146816 164021 165649 169136 169312 169756 174592 175232 195052 195767 199888 201344 201872 206336 208384 232562 232804 238328 238576 240064 240944 246016 246272 247808 274846 277574 283712 284456 284752 286528 292864 293632 327701 328042 331298 338272 338624 339512 349184 350464 387283 390104 391127 391534 399776 402688 403744 412672 416768 462241 465124 465608 466829 476656 477152 480128 481888 492032 492544 549692 551707 555148 567424 568912 569504 573056 587264 655402 656084 662596 676544 677248 679024 698368 700928 774566 780208 782254 783068 799552 805376 807488 825344 833536 924482 930248 931216 933658 953312 954304 960256 963776 984064 985088 1099384 1102267 1103414 1110296 1134848 1137824 1139008 1146112 1174528 1310804 1312168 1315609 1325192 1353088 1354496 1358048 1401856 1511653 1549132 1560416 1564508 1566136 1599104 1610752 1614976 1804231 1848964 1860496 1862432 1867316 1906624 1908608 1920512 1927552 1968128 2153437 2198768 2204534 2206828 2220592 2269696 2275648 2278016 2292224 2349056 2621608 2624336 2631218 2650384 2706176 2708992 2716096 2803712 3023306 3098264 3120832 3129016 3132272 3198208 3221504 3229952 3604711 3608462 3697928 3720992 3724864 3734632 3813248 3817216 3841024 3855104 4260113 4302397 4306874 4397536 4409068 4413656 4441184 4539392 4551296 4556032 4584448 5084651 5135119 5243216 5248672 5262436 5300768 5412352 5417984 5432192 6046612 6068777 6196528 6241664 6258032 6264544 6396416 6459904 7209422 7216924 7395856 7441984 7449728 7469264 7626496 7634432 7682048 7710208 8520226 8604794 8613748 8795072 8818136 8827312 8882368 9078784 9102592 9112064 9168896 10169302 10270238 10486432 10497344 10524872 10601536 10824704 10835968 10864384 12093224 12124937 12137554 12393056 12483328 12516064 12529088 12792832 12919808 14329471 14418844 14433848 14471699 14791712 14883968 14899456 14938528 15252992 15268864 15420416 17040452 17102917 17209588 17227496 17590144 17636272 17654624 17764736 18205184 18224128 20338604 20540476 20972864 20994688 21049744 21203072 21649408 21728768 24186448 24249874 24275108 24786112 24966656 25032128 25058176 25585664 25839616 28658942 28837688 28867696 28943398 29583424 29767936 29798912 29877056 30505984 30537728 30840832 34080904 34205834 34419176 34454992 35180288 35272544 35309248 35529472 36410368 36448256 40677208 40783879 41080952 41945728 41989376 42099488 42406144 43457536 46861243 48372896 48499748 48550216 49572224 49933312 50064256 50116352 55931161 57317884 57675376 57735392 57886796 59166848 59535872 59597824 59754112 61011968 66756547 68161808 68411668 68838352 68909984 70360576 70545088 70618496 71058944 72820736 81354416 81567758 82161904 83891456 83978752 84198976 84812288 86915072 93722486 96745792 96999496 97100432 99144448 99866624 100128512 100232704 111862322 114635768 115350752 115470784 115773592 118333696 119071744 119195648 119508224 133374307 133513094 136323616 136823336 137676704 137819968 140721152 141090176 141236992 142117888 157624181 159188689 162708832 163135516 164323808 167782912 167957504 168397952 169624576 187444972 188132087 193491584 193998992 194200864 198288896 200257024 200465408 223724644 229271536 230701504 230941568 231547184 236667392 238143488 239016448 266748614 267026188 272647232 273646672 275353408 275639936 281442304 282180352 282473984 284235776 315248362 318377378 325417664 326271032 328647616 335565824 335915008 336795904 339249152 374889944 376264174 386983168 387997984 388401728 396577792 400514048 400930816 447449288 448622669 458543072 461403008 461883136 463094368 473334784 478032896 530190427 533497228 534052376 545294464 547293344 550706816 551279872 564360704 564947968 630496724 636754756 650835328 652542064 657295232 671131648 673591808 749779888 752528348 773966336 775995968 776803456 793155584 801028096 894898576 897245338 917086144 922806016 923766272 926188736 946669568 956065792 1060380854 1066994456 1068104752 1090588928 1094586688 1101413632 1102559744 1128721408 1129895936 1260993448 1273509512 1301670656 1305084128 1314590464 1347183616 1499559776 1505056696 1547932672 1551991936 1553606912 1733865991 1789797152 1794490676 1834172288 1845612032 1847532544 1852377472 2069452957 2120761708 2133988912 2136209504 2181177856 2189173376 2202827264 2205119488 2257442816 2521986896 2547019024 2603341312 2610168256 2629180928 2694367232 2999119552 3010113392 3095865344 3103983872 3107213824 3467731982 3579594304 3588981352 3668344576 3691224064 3695065088 3704754944 4138905914 4241523416 4267977824 4272419008 4362355712 4378346752 4405654528 4410238976 4934849359 5043973792 5094038048 5206682624 5220336512 5258361856 5832094697 5998239104 6020226784 6207967744 6214427648 6935463964 7159188608 7177962704 7336689152 7382448128 7409509888 8277811828 8483046832 8535955648 8544838016 8724711424 8756693504 8811309056 9869698718 10087947584 10188076096 10413365248 10440673024 10516723712 11664189394 11996478208 12040453568 12415935488 12428855296 13870927928 14318377216 14355925408 14673378304 14819019776 16555623656 16966093664 17071911296 17089676032 17513387008 19739397436 20175895168 20376152192 20881346048 23328378788 23992956416 24080907136 24831870976 27741855856 28636754432 28711850816 29346756608 29638039552 33111247312 33932187328 34143822592 34179352064 35026774016 39478794872 40351790336 40752304384 41762692096 46656757576 47985912832 48161814272 55483711712 57273508864 57423701632 64153041667 66222494624 67864374656 68287645184 68358704128 78957589744 80703580672 81504608768 83525384192 93313515152 95971825664 96323628544 110967423424 114547017728 114847403264 128306083334 132444989248 135728749312 136575290368 136717408256 157915179488 161407161344 163009217536 186627030304 192647257088 221934846848 229694806528 256612166668 264889978496 271457498624 273150580736 315830358976 322814322688 326018435072 373254060608 385294514176 443869693696 459389613056 513224333336 529779956992 542914997248 631660717952 746508121216 887739387392 918779226112 1026448666672 1059559913984 1085829994496 1263321435904 1493016242432 1775478774784 2052897333344 2119119827968 2526642871808 2986032484864 3550957549568 4105794666688 4238239655936 5053285743616 5972064969728 8211589333376 10106571487232 11944129939456 16423178666752 32846357333504 65692714667008 131385429334016
- Sum of all divisors σ(n): 330257531560320
- Sum of proper divisors (its aliquot sum) s(n): 198872102226304
- 131385429334016 is an abundant number, because the sum of its proper divisors (198872102226304) is greater than itself. Its abundance is 67486672892288
Bases of 131385429334016
- Binary: 111011101111110100011011101100000011000000000002
- Hexadecimal: 0x777E8DD81800
- Base-36: 1AKLMSCR28
Squares and roots of 131385429334016
- 131385429334016 squared (1313854293340162) is 17262131041283712017294688256
- 131385429334016 cubed (1313854293340163) is 2267992498079105175990138389104524416516096
-
The
square root of 131385429334016 is 11462348.3341772509 -
The
cube root of 131385429334016 is 50837.2911822649
Scales and comparisons
How big is 131385429334016?- 131,385,429,334,016 seconds is equal to 4,177,650 years, 13 weeks, 8 hours, 46 minutes, 56 seconds.
-
To count from 1 to 131,385,429,334,016 would take you about ten million, four hundred forty-four thousand, one hundred twenty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 131385429334016 cubic inches would be around 4236.4 feet tall.
Recreational maths with 131385429334016
- 131385429334016 backwards is 610433924583131
- The number of decimal digits it has is: 15
- The sum of 131385429334016's digits is 53
- More coming soon!
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The information we have on file for 131385429334016 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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